A268772 Number of nX6 0..2 arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

240, 620, 5214, 46312, 387146, 3104544, 24222418, 185142872, 1393319226, 10357051740, 76224579034, 556383657268, 4033179662378, 29064236056520, 208382539816438, 1487439977791192, 10576114792480666, 74940142727337224

Offset

1,1

Comments

Column 6 of A268774.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 6*a(n-1) +51*a(n-2) -214*a(n-3) -1074*a(n-4) +2018*a(n-5) +7713*a(n-6) -10572*a(n-7) -22926*a(n-8) +30116*a(n-9) +25283*a(n-10) -32400*a(n-11) -15148*a(n-12) +15184*a(n-13) +5660*a(n-14) -2688*a(n-15) -1024*a(n-16) for n>18

Example

Some solutions for n=4
..1..0..0..1..1..0. .2..2..2..1..2..1. .0..0..0..1..0..0. .1..2..2..2..2..1
..0..0..0..0..0..0. .2..2..2..2..2..2. .1..1..0..0..0..0. .2..1..2..2..2..2
..0..0..0..0..0..1. .1..2..2..1..2..1. .0..0..0..0..0..0. .2..2..2..2..2..2
..0..0..1..0..0..0. .2..2..2..2..2..1. .1..0..0..1..0..0. .1..2..1..2..2..2

Crossrefs

Cf. A268774.

Sequence in context: A070123 A119659 A263161 * A202196 A060663 A092000

Adjacent sequences: A268769 A268770 A268771 * A268773 A268774 A268775

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved